Control of many-electron states in semiconductor quantum dots by non-Abelian vector potentials

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11 Citations (Scopus)

Abstract

Adiabatic time evolution of degenerate eigenstates of a quantum system provides a means for controlling electronic states since mixing between degenerate states generates a matrix Berry phase. In the presence of spin-orbit coupling in n -type semiconductor quantum dots, the electron Hamiltonian is invariant under time reversal operation and the many body ground state may be doubly degenerate. This double degeneracy can generate non-Abelian vector potentials when odd number of electrons are present. We find that the antisymmetry of many-electron wave function has no effect on the matrix Berry phase. We have derived equations that allow one to investigate the effect of electron correlations by expressing the non-Abelian vector potentials for many-electron system in terms of single electron non-Abelian vector potentials.

Original languageEnglish
Article number245328
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume75
Issue number24
DOIs
Publication statusPublished - 2007 Jun 27

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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